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On this page are computer-accessible forms for the graph C4[ 70, 2 ] = C_70(1,29).

(I) Following is a form readable by MAGMA:

g:=Graph<70|{ {2, 3}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {1, 2}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {67, 68}, {59, 60}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {23, 24}, {39, 40}, {55, 56}, {2, 31}, {32, 61}, {34, 63}, {1, 30}, {15, 16}, {33, 62}, {47, 48}, {3, 32}, {23, 52}, {19, 48}, {7, 36}, {11, 40}, {15, 44}, {27, 56}, {31, 60}, {4, 33}, {22, 51}, {20, 49}, {6, 35}, {12, 41}, {14, 43}, {28, 57}, {30, 59}, {5, 34}, {21, 50}, {13, 42}, {29, 58}, {2, 43}, {22, 63}, {20, 61}, {18, 59}, {4, 45}, {6, 47}, {16, 57}, {1, 42}, {21, 62}, {17, 58}, {5, 46}, {8, 37}, {24, 53}, {10, 39}, {26, 55}, {3, 44}, {25, 54}, {19, 60}, {9, 38}, {7, 48}, {15, 56}, {8, 49}, {10, 51}, {12, 53}, {14, 55}, {9, 50}, {13, 54}, {16, 45}, {18, 47}, {11, 52}, {17, 46}, {31, 32}, {1, 70}, {23, 64}, {24, 65}, {26, 67}, {28, 69}, {25, 66}, {29, 70}, {27, 68}, {35, 64}, {39, 68}, {36, 65}, {38, 67}, {37, 66}, {40, 69}, {41, 70}, {63, 64} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (2, 42)(3, 13)(4, 54)(5, 25)(6, 66)(7, 37)(9, 49)(10, 20)(11, 61)(12, 32)(14, 44)(16, 56)(17, 27)(18, 68)(19, 39)(21, 51)(23, 63)(24, 34)(26, 46)(28, 58)(30, 70)(31, 41)(33, 53)(35, 65)(38, 48)(40, 60)(45, 55)(47, 67)(52, 62)(59, 69)
b: (2, 30)(3, 59)(4, 18)(5, 47)(7, 35)(8, 64)(9, 23)(10, 52)(12, 40)(13, 69)(14, 28)(15, 57)(17, 45)(19, 33)(20, 62)(22, 50)(24, 38)(25, 67)(27, 55)(29, 43)(32, 60)(34, 48)(37, 65)(39, 53)(42, 70)(44, 58)(49, 63)(54, 68)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 70, 2 ]
70
-1 2 70 30 42
-2 1 3 31 43
-3 44 2 4 32
-4 33 45 3 5
-5 34 46 4 6
-6 35 47 5 7
-7 36 48 6 8
-8 37 49 7 9
-9 38 50 8 10
-10 11 39 51 9
-11 12 40 52 10
-12 11 13 41 53
-13 12 14 42 54
-14 55 13 15 43
-15 44 56 14 16
-16 45 57 15 17
-17 46 58 16 18
-18 47 59 17 19
-19 48 60 18 20
-20 49 61 19 21
-21 22 50 62 20
-22 23 51 63 21
-23 22 24 52 64
-24 23 25 53 65
-25 66 24 26 54
-26 55 67 25 27
-27 56 68 26 28
-28 57 69 27 29
-29 58 70 28 30
-30 1 59 29 31
-31 2 60 30 32
-32 33 3 61 31
-33 34 4 62 32
-34 33 35 5 63
-35 34 36 6 64
-36 35 37 7 65
-37 66 36 38 8
-38 67 37 39 9
-39 68 38 40 10
-40 11 69 39 41
-41 12 70 40 42
-42 1 13 41 43
-43 44 2 14 42
-44 45 3 15 43
-45 44 46 4 16
-46 45 47 5 17
-47 46 48 6 18
-48 47 49 7 19
-49 48 50 8 20
-50 49 51 9 21
-51 22 50 52 10
-52 11 23 51 53
-53 12 24 52 54
-54 55 13 25 53
-55 56 14 26 54
-56 55 57 15 27
-57 56 58 16 28
-58 57 59 17 29
-59 58 60 18 30
-60 59 61 19 31
-61 60 62 20 32
-62 33 61 63 21
-63 22 34 62 64
-64 23 35 63 65
-65 66 24 36 64
-66 67 25 37 65
-67 66 68 26 38
-68 67 69 27 39
-69 68 70 28 40
-70 1 69 29 41
0

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